Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.A garden is 39 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 2.A triangle has a base of 10 cm and a height of 6 cm. What is its area (in sq cm)?
- 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 5.The perimeter of a square is 84 cm. What is its area (in sq cm)?
- 6.A rectangular field is 11 m long and 4 m wide. What is its area (in sq m)?
- 7.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 8.A rectangular field is 30 m long and 29 m wide. What is its area (in sq m)?
- 9.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 10.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A park is 21 m long and 17 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 12.A triangle has a base of 10 cm and a height of 12 cm. What is its area (in sq cm)?
- 13.A garden is 13 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 14.A garden is 31 m long and 30 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 15.A garden is 37 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 16.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A triangle has a base of 30 cm and a height of 6 cm. What is its area (in sq cm)?
- 18.The perimeter of a square is 92 cm. What is its area (in sq cm)?
- 19.A garden is 32 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 20.A rectangle has an area of 999 sq cm and a length of 37 cm. What is its perimeter (in cm)?
- 21.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its perimeter (in cm)?
- 22.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
- 23.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its perimeter (in cm)?
- 25.A triangle has a base of 6 cm and a height of 20 cm. What is its area (in sq cm)?
- 26.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 27.A triangle has a base of 4 cm and a height of 17 cm. What is its area (in sq cm)?
- 28.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
- 29.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 30.A park is 35 m long and 16 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
- 31.A garden is 23 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 32.A triangle has a base of 30 cm and a height of 19 cm. What is its area (in sq cm)?
- 33.A triangle has a base of 26 cm and a height of 24 cm. What is its area (in sq cm)?
- 34.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 35.A garden is 23 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 36.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
- 37.A park is 60 m long and 10 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A triangle has a base of 21 cm and a height of 8 cm. What is its area (in sq cm)?
- 39.A rectangle has an area of 340 sq cm and a length of 34 cm. What is its perimeter (in cm)?
- 40.A triangle has a base of 14 cm and a height of 16 cm. What is its area (in sq cm)?
Answer key
- 192
- 30
- 154
- 32
- 441
- 44
- 264
- 870
- 616
- 220
- 1292
- 60
- 112
- 402
- 330
- 132
- 90
- 529
- 300
- 128
- 34
- 60
- 88
- 48
- 60
- 2464
- 34
- 18
- 44
- 3570
- 80
- 285
- 312
- 220
- 132
- 70
- 4620
- 84
- 88
- 112
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